On compactifications of an orbit space
[ X ]
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
One of the important research topics in the theory of topological transformation groups is to examine the relationships between the topological properties of a G-space X and the orbit space X / G . In [7], Antonyan and Smirnov studied the relationship between the Stone-Cech compactification of a completely regular space and the Stone-Cech compactification of the orbit space. A similar study was done for the Hewitt realcompactification in [8, 14]. In this paper, we obtain that the c-realcompactification of the orbit space X / G is homeomorfic to the orbit space of the c-realcompactification of X , when G is a finite discrete group and X is a completely regular G-space. We will also show a similar result for almost realcompactification.
Açıklama
Anahtar Kelimeler
c-realcompactification, almost realcompactification, orbit space, group action
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
38
Sayı
29
